Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251g |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-60685080740379 = -1 · 311 · 17 · 674 |
Discriminant |
Eigenvalues |
0 3- 3 -4 -3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-61356,-5861696] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1775:1] |
Generators of the group modulo torsion |
j |
-35040258397831168/83244280851 |
j-invariant |
L |
3.5725473131946 |
L(r)(E,1)/r! |
Ω |
0.15165037467557 |
Real period |
R |
2.944723447632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417d1 |
Quadratic twists by: -3 |